Answer:
x=80
Explanation:
because all lines intersect at point E, we could safety say they are equal. therefore, we can also say that angles aef+def=ceg+beg.
we already know what ceg+beg is; 160 and we also know what def is, which is 80.
we set up an equation plugging it in. we will say ceg=x.
x+80=160, subtract 80 on both sides and you get x=80!
hoped this helped :)